1. 12.2 Surface Area of Prism and Cylinders
CAS 8, 9
Goal 1: Finding the Surface Area of a Prism
Goal 2: Finding the Surface Area of a Cylinder

2. Prism
A prism is a polyhedron with two congruent faces, called bases, that lie in parallel planes.
The other faces are called lateral faces.
bases

3. Altitude of a Prism
The altitude or height of a prism is the perpendicular distance between its bases.
Height 2
(Top and Bottom Bases)
Height 1
(Left and Right Bases)

4. Right vs. Oblique Prisms
In a right prism, each lateral edge is perpendicular to both bases.
In an oblique prism the lateral edges are not perpendicular to the bases. (See picture on overhead)

5. Naming a Prism The name of a prism is the shape of the base
Triangular prism

6. Surface Area of a Polyhedron
The surface area of a polyhedron is the sum of the areas of its faces.
The lateral area of a polyhedron is the sum of the areas of its lateral faces only.

7.         
              
Net
A 2-dimensional representation of all the faces and bases of a prism. (see model)

8. Theorem 12.2 Surface Area of a Right Prism
S= 2B+Ph
S- Surface Area
B- Area of a Base
P- Perimeter of Base
h- The distance between the two bases. (or height or altitude)

9. Ex. 1 Find the S.A. of the right Prism

10. Cylinder
A cylinder is a solid with congruent circular bases that lie in parallel planes.
radius
Bases
height

11. Theorem 12.3 Surface Area of a Right Cylinder
S=2B+Ch or
S- Surface Area
B- Area of Base
C- Circumference of Base
h- Distance between the two bases

12. Ex. 2 Given the S.A. of the right cylinder, what is the height?